### Abstract

The notion of a nonstationary narrow-band stochastic process is introduced without reference to a frequency spectrum, and the joint distribution function of two consecutive maxima is approximated by use of an envelope. Based on these definitions the first passage problem is treated as a Markov point process. The theory is applied to the response of a linear oscillator excited by a stationary process from t equals 0, and a simple algebraic relation between the nonstationary and stationary correlation functions of the response is derived.

Original language | English |
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Journal | Journal of Applied Mechanics |

Volume | 46 |

Issue number | 4 |

Pages (from-to) | 919-924 |

ISSN | 0021-8936 |

Publication status | Published - 1979 |

## Cite this

Krenk, S. (1979). Nonstationary Narrow-Band Response and First-Passage Probability.

*Journal of Applied Mechanics*,*46*(4), 919-924.